List any five axioms.

Find counter-example to disprove the following statement.

If the corresponding angles in two triangles are equal, then the triangles are congruent.

Find counter-example to disprove the following statement

A quadrilateral with all sides equal is a square.

Find counter-example to disprove the following statement

A quadrilateral with all angles equal is a square.

Find counter-example to disprove the following statement : 

For integers $a$ and $b$, $\sqrt{a^2+b^2}=a+b$

Find counter-example to disprove the following statement :

$2n^2+11$ is a prime for all whole numbers $n$.

Find counter-examples to disprove the following statement :

$n^2-n+41$ is a prime for all positive integers $n$.